Spectral gaps for periodic piezoelectric waveguides

被引：6
|
作者：
Nazarov, Sergei A. [1 ,2 ,3 ]
Taskinen, Jari [4 ]
机构：
[1] St Petersburg State Univ, Math & Mech Fac, Peterhof St Petersburg 198504, Russia
[2] St Petersburg State Polytech Univ, St Petersburg 195251, Russia
[3] RAS, Inst Problems Mech Engn, St Petersburg 199178, Russia
[4] Univ Helsinki, Dept Math & Stat, Helsinki 00014, Finland
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2015年 / 66卷 / 06期
基金：
芬兰科学院;
关键词：
Piezoelectricity system; Periodic waveguide; Essential spectrum; Spectral gap; BOUNDARY; SYSTEM; EDGES;
D O I：
10.1007/s00033-015-0561-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct a family of periodic piezoelectric waveguides Pi(epsilon), depending on a small geometrical parameter, with the following property: as epsilon -> +0, the number of gaps in the essential spectrum of the piezoelectricity problem on Pi(epsilon) grows unboundedly.
引用
收藏
页码：3017 / 3047
页数：31
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